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Finding the Fourth Proportional to 3,047.49, 4,205.49 and 1,788.32

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Solution

The fourth proportional to 3,047.49, 4,205.49 and 1,788.32 is: 2,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.49 : 4,205.49 = 1,788.32 : x
  2. Step 2: Convert to fraction form
    3,047.49/4,205.49 = 1,788.32/x
  3. Step 3: Cross multiply
    3,047.49x = 4,205.49 × 1,788.32
  4. Step 4: Simplify right side
    3,047.49x = 7,520,745.32
  5. Step 5: Solve for x
    x = 7,520,745.32/3,047.49
  6. Step 6: Final answer
    x = 2,467.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.